Question

A sphere has a diameter of 0.926 inch.

What is the volume of the sphere? Use 3.14 for p, and round to the nearest thousandth.

Answer 1

The volume of the sphere is
`V=0.416 \:in^3`.

Explanation:

The volume enclosed by a sphere is given by the formula

`V=(4)/(3)\pi r^3`

Where r is the radius of the sphere.

The diameter of a sphere is twice as long as any radius of the same sphere and is given by the formula

`d=2r`

We know that the diameter of the sphere is 0.926 inch. The radius is

`(0.926)/(2)=0.463`

The volume of the sphere is

`V=(4)/(3)(3.14)(0.463)^3 \approx0.4155385`

and rounding to the nearest thousandth we get
`V=0.416 \:in^3`.